lego baseplate 3d model

Create a precise 3D CAD model of a square baseplate compatible with LEGO-style bricks. The baseplate dimensions are 15.7 × 15.7 cm (48 × 48 studs). The top surface must contain a uniform grid of circular studs evenly spaced at 8.0 mm center-to-center, following standard LEGO proportions. Each stud has a diameter of 4.8 mm and a height of 1.8 mm. The underside should be flat and structurally reinforced for rigidity. Include interlocking connector tabs on the edges that allow multiple baseplates to slide and lock together horizontally and vertically, as shown in the reference image. Plate thickness should be realistic for injection-molded ABS plastic. Edges should have slight chamfers. Ensure accurate proportions and symmetry.